21. In these cases, with the inviscid assumption, Navier-Stokes equations can be derived as Euler equations . 22. Helicity is the only known integral invariant of the Euler equations , apart from energy, momentum and angular momentum. 23. The equations of motion necessary for these computations are based on Newtonian mechanics, specifically the Newton Euler equations of: 24. The first two equations are the Newton-Euler equations , and the third requires all forces to be valid. 25. Robert Hall ( 1978 ) estimated the Euler equation in order to find evidence of a random walk in consumption. 26. In 1757, Leonhard Euler published the Euler equations , extending Bernoulli's principle to the compressible flow regime. 27. Mean performance for the stage can be calculated from the velocity triangles, at this radius, using the Euler equation : 28. In that case, and for a constant density, the momentum equations of the Euler equations can be integrated to: 29. High resolution simulation of Euler equations based on G A Sod's'Shock Tube'problem-SI units. 30. Some of these hypotheses bring to Euler equations ( fluid dynamics ), other ones bring to Navier-Stokes equations.
